CN104395906A - Symmetry of discovered geometric relationships in a three dimensional model - Google Patents
Symmetry of discovered geometric relationships in a three dimensional model Download PDFInfo
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Abstract
用于在产品数据管理(PDM)系统中识别对称关系的系统及方法。方法包括:接收(505)包括多个组件的3D模型以及从所述多个组件中识别(515)多个目标组件(c1,c2,c3,c4,c5)。该方法包括识别(515)3D模型中的对称平面(p1,p2)以及确定(520)每个目标组件相对于对称平面的位置。该方法包括根据所确定的位置将目标组件添加(525)至相应组,以及针对每个目标组件组创建(530)等价类(sa1,sd1)。该方法包括存储(535)所创建的等价类之间的对称关系。
Systems and methods for identifying symmetric relationships in a product data management (PDM) system. The method includes receiving (505) a 3D model comprising a plurality of components and identifying (515) a plurality of target components (cl, c2, c3, c4, c5) from the plurality of components. The method includes identifying (515) a plane of symmetry (pi, p2) in the 3D model and determining (520) a position of each target component relative to the plane of symmetry. The method includes adding ( 525 ) target components to corresponding groups according to the determined positions, and creating ( 530 ) an equivalence class ( sa1 , sd1 ) for each target component group. The method includes storing (535) symmetric relationships between the created equivalence classes.
Description
本发明涉及根据独立权利要求的识别对称关系的方法、产品数据管理数据处理系统以及计算机可读介质。The invention relates to a method of identifying symmetric relationships, a product data management data processing system and a computer readable medium according to the independent claims.
技术领域technical field
本公开内容一般地涉及对产品数据和其他项目进行管理的计算机辅助设计、可视化及制造系统、产品生命周期管理(“PLM”)系统以及类似系统(统称为“产品数据管理”系统或“PDM”系统)。The present disclosure generally relates to computer-aided design, visualization and manufacturing systems, product lifecycle management (“PLM”) systems, and similar systems (collectively referred to as “product data management” systems or “PDM”) for managing product data and other items. system).
背景技术Background technique
PDM系统对PLM和其他数据进行管理。期望改进了的系统。The PDM system manages PLM and other data. An improved system is expected.
发明内容Contents of the invention
各种公开了的实施方式包括用于改进了的PDM处理的系统及方法,包括用于在产品数据管理(PDM)系统中对三维模型中的所发现的几何关系内的对称进行管理的系统及方法。方法包括:接收包括多个组件的3D模型以及从所述多个组件中识别多个目标组件。该方法包括识别3D模型中的对称平面以及确定每个目标组件相对于对称平面的位置。该方法包括根据所确定的位置将目标组件添加至相应组以及针对每个目标组件组创建等价类。该方法包括存储所创建的等价类之间的对称关系。Various disclosed embodiments include systems and methods for improved PDM processing, including systems and methods for managing symmetry within discovered geometric relationships in a three-dimensional model in a product data management (PDM) system. method. The method includes receiving a 3D model including a plurality of components and identifying a plurality of target components from the plurality of components. The method includes identifying a plane of symmetry in the 3D model and determining the position of each target component relative to the plane of symmetry. The method includes adding target components to corresponding groups based on the determined positions and creating an equivalence class for each target component group. The method includes storing the symmetric relations between the created equivalence classes.
以上所述相当广泛地概述了本公开内容的特征和技术优点,而使得本领域技术人员可以更好地理解以下详细描述。将在下文中描述本公开内容的构成权利要求主题的另外的方面和优点。本领域技术人员应当理解,他们可以容易地使用所公开的构思和具体实施方式作为对用于实现本公开内容的相同目的的其他结构进行修改或设计的基础。本领域技术人员还应当意识到,这样的等同构造并未脱离本公开内容的最广泛形式的精神和范围。The foregoing has outlined rather broadly the features and technical advantages of the present disclosure so that those skilled in the art may better understand the following detailed description. Additional aspects and advantages of the disclosure will be described hereinafter which form the subject of the claims. Those skilled in the art should appreciate that they may readily use the conception and specific embodiment disclosed as a basis for modifying or designing other structures for carrying out the same purposes of the present disclosure. Those skilled in the art should also realize that such equivalent constructions do not depart from the spirit and scope of the disclosure in its broadest form.
在开始下面的具体实施方式之前,阐述贯穿本专利文献使用的某些单词或短语的定义会有利:词语“包括(include)”和“包括(comprise)”及其派生词语指没有限制的包括;术语“或”是包括性的,指和/或;短语“相关联”和“与其相关联”及其派生短语可以指包括、被包括在内、与其互连、包含、被包含在内、连接至或与其连接、耦接至或与其耦接、能够与其通信、与其协作、交错、并列、与其接近、绑定至或与其绑定、具有、或具有其性质等;以及术语“控制器”指控制至少一个操作的任何设备、系统或其一部分,而不论这样的设备是通过硬件、固件、软件或以上中的至少两者的组合来实现。应当注意,与任何具体控制器关联的功能,无论本地或远程,可以是集中式或分布式。贯穿本专利文献提供某些单词和短语的定义,并且本领域技术人员应当理解,这样的定义即使不是在大多数实例中但仍在许多实例中适用于这样被定义的单词和短语的现有及未来使用。尽管一些词语可能包括各种各样的实施方式,但是所附权利要求可以明确地将这些词语限制到具体的实施方式。Before beginning the following detailed description, it may be beneficial to set forth definitions of certain words or phrases used throughout this patent document: the words "include" and "comprise" and their derivatives mean inclusion without limitation; The term "or" is inclusive, referring to and/or; the phrases "associated with" and "associated with" and their derivatives may mean to include, to be included, to be interconnected with, to comprise, to be included, to connect to or connected to, coupled to or coupled to, capable of communicating with, cooperating with, interleaved with, juxtaposed with, proximate to, bound to or bound to, having, or having properties thereof, etc.; and the term "controller" refers to Any device, system, or portion thereof that controls at least one operation, whether such device is implemented by hardware, firmware, software, or a combination of at least two of the above. It should be noted that the functionality associated with any particular controller, whether locally or remotely, may be centralized or distributed. Definitions for certain words and phrases are provided throughout this patent document, and those skilled in the art should understand that such definitions apply to many, if not most, instances prior to and including such defined words and phrases. future use. While some words may encompass a wide variety of embodiments, the appended claims may expressly limit these words to specific embodiments.
附图说明Description of drawings
为了更全面地理解本公开内容及其优点,现在结合附图对以下描述进行参考,其中相同的附图标记指代相同的对象,在附图中:For a fuller understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numerals refer to like objects, in which:
图1描绘了能够实现实施方式的数据处理系统的框图;Figure 1 depicts a block diagram of a data processing system capable of implementing embodiments;
图2A和图2B示出了根据所公开的实施方式的对称实体的示例;2A and 2B illustrate examples of symmetric entities according to disclosed embodiments;
图3A示出了根据所公开的实施方式的用于说明对称关系的模型的简单示例表示,并且图3B和图3C示出了根据所公开的实施方式的与图3A对应的几何关系图;Figure 3A shows a simple example representation of a model for illustrating symmetric relationships according to disclosed embodiments, and Figures 3B and 3C show geometric relationship diagrams corresponding to Figure 3A, according to disclosed embodiments;
图4A示出了根据所公开的实施方式的其中第一等同类具有三个成员而第二等同类包括仅两个成员的模型的示例,并且图4B示出了根据所公开的实施方式的对应的几何关系图;Figure 4A shows an example of a model in which a first equivalent class has three members and a second equivalent class includes only two members according to disclosed embodiments, and Figure 4B shows the corresponding The geometric relationship diagram;
图5描绘了根据所公开的实施方式的处理的流程图;Figure 5 depicts a flow diagram of processing in accordance with disclosed embodiments;
图6示出了根据所公开的实施方式的模型中的目标组件的示例;Figure 6 shows an example of a target component in a model according to disclosed embodiments;
图7示出了根据所公开的实施方式的当组件被移动并且可选约束被保持时对可选约束的使用;FIG. 7 illustrates the use of optional constraints when a component is moved and the optional constraints are maintained, according to disclosed embodiments;
图8示出了当组件使组件的轴旋转时对可选约束的使用;Figure 8 illustrates the use of optional constraints when a component rotates the component's axis;
图9示出了根据所公开的实施方式的由多个对称平面进行的分割的示例;Figure 9 illustrates an example of segmentation by multiple planes of symmetry in accordance with disclosed embodiments;
图10A示出了根据所公开的实施方式的单个对称平面的示例,图10B示出了根据所公开的实施方式的对应的指向(sense),以及图10C示出了根据所公开的实施方式的对应的关系图;以及Figure 10A shows an example of a single plane of symmetry according to a disclosed embodiment, Figure 10B shows a corresponding sense according to a disclosed embodiment, and Figure 10C shows a sense according to a disclosed embodiment the corresponding relationship diagram; and
图11A示出了根据所公开的实施方式的两个对称平面的示例,图11B示出了根据所公开的实施方式的对应的指向,并且图11C示出了根据所公开的实施方式的对应的关系图。FIG. 11A shows an example of two planes of symmetry according to disclosed embodiments, FIG. 11B shows corresponding orientations according to disclosed embodiments, and FIG. 11C shows corresponding orientations according to disclosed embodiments. relation chart.
具体实施方式Detailed ways
下面所讨论的图1至图11以及本专利文献中用于描述本公开内容的原理的各种实施方式仅作为示意性说明而不应以任何方式被解释成限制本公开内容的范围。本领域技术人员应当理解,本公开内容的原理可以通过任何适当地配置的设备来实现。将参照示例性非限制性实施方式来描述本申请的诸多创新性教示。1 through 11 , discussed below, and the various embodiments used to describe the principles of the disclosure in this patent document are by way of illustration only and should not be construed in any way to limit the scope of the disclosure. Those skilled in the art will understand that the principles of the present disclosure may be implemented in any suitably configured device. The many innovative teachings of the present application will be described with reference to exemplary, non-limiting embodiments.
几何关系识别使得用户能够在保留重要的设计特征的同时对模型甚至对非原生的模型或导入的模型进行编辑。Geometric relationship recognition enables users to edit models, even non-native or imported models, while preserving important design features.
给定任意三维(3D)CAD模型,存在有许多在进行编辑时用户可能希望保留的几何关系。例如,用户可能希望针对下述特征保持两个特征之间的某些距离:要关于任意线或平面为“镜像”或对称的特征;要被保持平行的特征或其他特征。在模型中发现这样的关系后,可能需要特别地考虑对称关系。所公开的实施方式包括用于处理所发现的对称关系的系统及方法。Given any three-dimensional (3D) CAD model, there are many geometric relationships that a user may wish to preserve when editing. For example, a user may wish to maintain a certain distance between two features for features that are to be "mirrored" or symmetrical about an arbitrary line or plane; features that are to be kept parallel, or other features. When such a relationship is found in the model, it may be necessary to specifically consider symmetric relationships. The disclosed embodiments include systems and methods for processing discovered symmetric relationships.
图1描绘了能够实现实施方式的数据处理系统的框图,例如如特别地通过软件或以其他方式被配置成进行如本文所述的处理的PDM系统或清算系统,并且特别地如本文所描述的多个互连与通信系统中的每一个系统。所描绘的数据处理系统包括与二级高速缓存/桥接器104连接的处理器102,而二级高速缓存/桥接器104又与本地系统总线106连接。本地系统总线106可以是例如外围部件互连(PCI)架构总线。在所描绘的示例中,与本地系统总线连接的还有主存储器108和图形适配器110。图形适配器110可以与显示器111连接。Figure 1 depicts a block diagram of a data processing system capable of implementing an embodiment, such as a PDM system or a clearing system configured, inter alia, by software or otherwise, to perform processing as described herein, and in particular as described herein Each of a plurality of interconnection and communication systems. The depicted data processing system includes processor 102 coupled to L2 cache/bridge 104 , which in turn is coupled to local system bus 106 . Local system bus 106 may be, for example, a Peripheral Component Interconnect (PCI) fabric bus. Also connected to the local system bus in the depicted example are main memory 108 and graphics adapter 110 . Graphics adapter 110 may be connected with display 111 .
其他外围设备如局域网(LAN)/广域网/无线(例如,WiFi)适配器112也可以与本地系统总线106连接。扩展总线接口114将本地系统总线106与输入/输出(I/O)总线116连接。I/O总线116与键盘/鼠标适配器118、盘控制器120和I/O适配器122连接。盘控制器120可以与存储设备126连接,存储设备126可以是任意适合的机器可用或机器可读存储介质,包括但不限于:非易失性、硬编码型介质例如只读存储器(ROM)或者可擦除、电可编程只读存储器(EEPROM)、磁带存储设备和用户可记录型介质例如软盘、硬盘驱动器及致密盘只读存储器(CD-ROM)或数字多功能盘(DVD)以及其他已知的光、电或磁存储设备。Other peripheral devices such as a local area network (LAN)/wide area network/wireless (eg, WiFi) adapter 112 may also be connected to the local system bus 106 . Expansion bus interface 114 connects local system bus 106 with input/output (I/O) bus 116 . I/O bus 116 connects with keyboard/mouse adapter 118 , disk controller 120 and I/O adapter 122 . Disk controller 120 may be coupled to storage device 126, which may be any suitable machine-usable or machine-readable storage medium, including but not limited to: non-volatile, hard-coded type media such as read-only memory (ROM) or Erasable, electrically programmable read-only memory (EEPROM), magnetic tape storage devices, and user-recordable media such as floppy disks, hard disk drives, and compact disk read-only memory (CD-ROM) or digital versatile disks (DVD) and other known optical, electrical or magnetic storage devices.
在所示出的示例中,与I/O总线116连接的还有音频适配器124,音频适配器124可以连接有扬声器(未示出)以播放声音。键盘/鼠标适配器118提供用于如鼠标、跟踪球、轨迹指示器的定点设备(未示出)的连接。Also connected to the I/O bus 116 in the example shown is an audio adapter 124 to which a speaker (not shown) may be connected to play sound. Keyboard/mouse adapter 118 provides connection for a pointing device (not shown) such as a mouse, trackball, track pointer.
本领域普通技术人员应当理解,图1所描绘的硬件可以因具体实现而异。例如,除了使用所描绘的硬件以外或替代所描绘的硬件,还可以使用其他外围设备如光盘驱动器等。所描绘的示例仅出于说明目的而提供,并且非意在暗示关于本公开内容的架构限制。Those of ordinary skill in the art should understand that the hardware depicted in FIG. 1 may vary due to specific implementations. For example, other peripheral devices, such as optical disc drives, etc., could be used in addition to or instead of the depicted hardware. The depicted examples are provided for illustration purposes only, and are not meant to imply architectural limitations with respect to the present disclosure.
根据本公开内容的实施方式的数据处理系统包括采用图形用户界面的操作系统。操作系统允许多个显示窗口同时被呈现在图形用户界面中,其中每个显示窗口为不同的应用程序或者相同应用程序的不同实例提供接口。用户可以通过定点设备来操作图形用户界面中的光标。可以改变光标的位置和/或产生如点击鼠标按钮的事件以驱动期望响应。A data processing system according to an embodiment of the present disclosure includes an operating system employing a graphical user interface. The operating system allows multiple display windows to be simultaneously presented in the graphical user interface, where each display window provides an interface to a different application or a different instance of the same application. Users can operate the cursor in the GUI through a pointing device. The position of the cursor can be changed and/or events such as mouse button clicks can be generated to drive the desired response.
可以采用被适当地修改了的各种商业操作系统之一如位于华盛顿州雷德蒙的Microsoft公司的产品Microsoft WindowsTM的版本。根据所描述的本公开内容来修改或创建该操作系统。One of various commercial operating systems, suitably modified, such as a version of Microsoft Windows (TM) , a product of Microsoft Corporation of Redmond, Washington, may be used. The operating system is modified or created according to the present disclosure as described.
LAN/WAN/无线适配器112可以与网络130(不是数据处理系统100的一部分)连接,所述网络130可以是如本领域技术人员所知的任何公共或私有数据处理系统网络或这些网络的组合,包括因特网。数据处理系统100可以经由网络130与服务器系统140通信,但也可以实现为例如单独的数据处理系统100,所述服务器系统140也不是数据处理系统100的一部分。LAN/WAN/wireless adapter 112 may be connected to network 130 (not part of data processing system 100), which may be any public or private data processing system network or combination of such networks as known to those skilled in the art, Including the Internet. Data processing system 100 may be in communication with server system 140 via network 130 , but may also be implemented as, for example, a separate data processing system 100 which is also not part of data processing system 100 .
如本文所使用的对等价类(“EC”)的数学定义是共享等价关系的一组成员。等价关系具有自反性、对称性和传递性。等价类具有以下有用属性:元素仅可以是由特定等价关系限定的一个等价类的成员。The mathematical definition of an equivalence class ("EC") as used herein is a group of members that share an equivalence relationship. Equivalence relations are reflexive, symmetric and transitive. Equivalence classes have the following useful property: elements can only be members of one equivalence class qualified by a particular equivalence relation.
因而等价类可以用于限定CAD模型中的几何关系,在CAD模型中那些关系是等价关系。Equivalence classes can thus be used to define geometric relations in a CAD model where those relations are equivalence relations.
等价关系存在于其中几何形状共享至少一个等同组件的模型中;等价关系的组件为中心、轴、平面、方向、半径、小半径或半角。Equivalence relations exist in models where geometric shapes share at least one equivalence component; the components of equivalence relations are centers, axes, planes, directions, radii, minor radii, or half angles.
根据所公开的技术以下等价关系在几何建模中有用:The following equivalence relations are useful in geometric modeling in accordance with the disclosed techniques:
●等同(I):几何形状共享相同类型和所有组件。• Identical (I): Geometric shapes share the same type and all components.
●同心(SC):几何形状共享同一中心组件。• Concentric (SC): Geometric shapes share the same central component.
●同轴(SA):几何形状共享同一轴组件。● Concentric (SA): Geometries share the same axis components.
●同平面(SP):几何形状共享同一平面组件。● Same Plane (SP): Geometric shapes share the same planar component.
●同形(SS):几何形状共享相同类型组件及相同半径、大半径以及小半径、或半角组件。• Same Shape (SS): Geometric shapes share the same type of components and the same radius, large and small radii, or half-width components.
●同向(SD):几何形状共享同一方向组件,被对齐或反向对齐。● Same Direction (SD): Geometric shapes sharing the same direction component, are aligned or anti-aligned.
根据这些等价关系,可以形成包括共享相同等价关系的几何形状的类。From these equivalence relations, classes can be formed that include geometric shapes that share the same equivalence relations.
许多模型被构建成横过给定平面对称,并且当编辑这些模型时期望发现和保留这些对称。模型中的对称实体通常还是与对称同时被发现的其他几何地成立的条件的一部分。经常实施这些附加条件会限制用户可以进行的编辑。Many models are constructed with symmetry across a given plane, and it is desirable to discover and preserve these symmetries when editing these models. Symmetric entities in a model are often also part of other geometrically valid conditions that are discovered at the same time as the symmetry. Often enforcing these additional conditions limits the edits a user can make.
图2A和图2B示出了对称实体的示例。在图2A中,圆柱体c1的面202经由平面P1206与圆柱体c2的面204双方对称。圆柱体c1和圆柱体c2二者还几何地等同。保持c1202与c2204等同不会使c1202如图2B中所示被旋转。2A and 2B illustrate examples of symmetric entities. In FIG. 2A , the surface 202 of the cylinder c1 is bilaterally symmetrical to the surface 204 of the cylinder c2 via the plane P1206 . Both cylinder c1 and cylinder c2 are also geometrically equivalent. Keeping c1 202 equal to c2 204 does not cause c1 202 to be rotated as shown in Figure 2B.
在这些等价类之间存在层次结构,如上面所列出的,等同最低,然后是同心、同轴、同平面以及同形以及最后同向在顶端。There is a hierarchy between these equivalence classes, as listed above, with equivalence being the lowest, then concentric, coaxial, coplanar, and isomorphic and finally isotropic at the top.
在各种实施方式中,等价类之间的层次结构可以具有以下特征中的一个或更多个:In various implementations, a hierarchy between equivalence classes may have one or more of the following characteristics:
●在较低层类中限定的关系隐含较高层类关系,但是这些关系并未特别地被表示。例如,等同的两个平面还同平面和同向。• Relationships defined in lower-level classes imply higher-level class relationships, but these relationships are not expressly represented. For example, two planes that are identical are also coplanar and in the same direction.
●可以将从节点A至节点B的有向边解释为“B是A的成员”或者“A是B的父节点”。• A directed edge from node A to node B can be interpreted as "B is a member of A" or "A is a parent of B".
●图的终端节点(即,等同类的成员)由模型几何形状组成。• The terminal nodes of the graph (ie, members of the equivalent class) consist of model geometries.
●每个终端节点必须属于一个并且仅一个等同类节点。• Each terminal node must belong to one and only one peer node.
●每个类节点可以属于具有不同类型的多个等价类,但是每个类节点仅可以属于某种类型的一个类。• Each class node can belong to multiple equivalence classes with different types, but each class node can only belong to one class of a certain type.
产品总成可以包括多个基本的3D组件,基本的3D组件中的每一个可以共享各种等价关系。这些总成中的每一个可以由示出每个组件类型之间的等价关系的连接图来表示。The product assembly may include multiple basic 3D components, each of which may share various equivalence relationships. Each of these assemblies can be represented by a connection diagram showing the equivalence relationship between each component type.
在请求保存对称条件并且这些对称条件存在于模型中的情况下,相对于其他关系优选对称关系。对对称的优选被应用于在模型中发现的所有关系条件。因为对称部件通常不具有等价性,例如,对称部件可能不处于同一方向,所以本文中描述的对称关系并非上面所描述的等价类层次结构的一部分。In cases where symmetric conditions are requested to be preserved and these symmetric conditions exist in the model, symmetric relationships are preferred over other relationships. The preference for symmetry is applied to all relational conditions found in the model. Because symmetric components generally do not have equivalence, eg, symmetric components may not be in the same orientation, the symmetric relationships described herein are not part of the equivalence class hierarchy described above.
利用等价类的数学概念来发现并存储几何关系以表示模型中的等价几何关系。然后在这些类之间形成非等价关系。该表示确保完备而紧凑的表示,并且还使得能够进行有效发现。The mathematical concept of equivalence classes is used to discover and store geometric relations to represent equivalent geometric relations in the model. A non-equivalence relationship is then formed between these classes. This representation ensures a complete and compact representation and also enables efficient discovery.
图3A示出了用于说明对称关系的模型的简单示例表示,并且图3B和图3C示出了与图3A对应的几何关系图。Figure 3A shows a simple example representation of a model used to illustrate the symmetric relationship, and Figures 3B and 3C show a geometric relationship diagram corresponding to Figure 3A.
图3A示出了圆柱体c1、c2、c3和c4,在平面P1的每侧上各两个。图3B示出了表示c1、c2、c3和c4是同一等同类i1、同一同轴类sa1以及同一同向类sd1的一部分的关系图。图3B示出了等同类发现开启并且对称关系发现关闭的关系图。Figure 3A shows cylinders c1, c2, c3 and c4, two on each side of plane P1. Fig. 3B shows a relationship graph indicating that cl, c2, c3 and c4 are part of the same equivalent class i1, the same coaxial class sa1 and the same symetrical class sd1. Figure 3B shows a relationship graph with equivalence class discovery turned on and symmetric relation discovery turned off.
如可以从图3A所看见的,如果在旋转圆柱轴之一时要保留横过平面P1对称,则必须将等同类i1拆分成两类,其中一类包括c1和c2而另一类包括c3和c4。即,如果旋转一个圆柱轴,则还必须沿相反方向旋转在平面P1的另一侧上的至少对应的/相对的圆柱轴。假定c1和c2保持等同,并且c3和c4保持等同,则图3B中所示的等同类i1必须如图3C所示被拆分成两个等同类i1和i2。As can be seen from Figure 3A, if symmetry across the plane P1 is to be preserved when rotating one of the cylinder axes, the equivalence class i1 must be split into two classes, one of which includes c1 and c2 and the other includes c3 and c4. That is, if one cylinder shaft is rotated, at least the corresponding/opposite cylinder shaft on the other side of plane P1 must also be rotated in the opposite direction. Assuming that c1 and c2 remain equal, and c3 and c4 remain equal, the equality class i1 shown in Figure 3B must be split into two equality classes i1 and i2 as shown in Figure 3C.
还必须将该划分推广至i1/i2以上的同轴类和同向类来产生如图3C所示的结构,其中对称Sym1然后被应用在两个等同类之间。图3B示出了等同类的发现和对称关系的发现都开启的情况下的关系图。This division must also be generalized to coaxial and isotropic classes above i1/i2 to yield the structure shown in Figure 3C, where symmetry Sym1 is then applied between two equivalent classes. FIG. 3B shows a relationship diagram when both the discovery of equivalence classes and the discovery of symmetric relations are turned on.
对完备类层次结构的这种拆分使得用户能够移动或旋转这些圆柱体中任意之一,并且系统会相应地修改/移动并且显示其他面。This splitting of the complete class hierarchy enables the user to move or rotate any of these cylinders and the system modifies/moves and displays the other faces accordingly.
许多类不会包括完全对称的成员集合。图4A示出了以下模型的示例:其中,如图4B的几何关系图中所示,等同类i1具有三个成员而等同类i2包括仅两个成员。Many classes will not include a completely symmetrical set of members. Fig. 4A shows an example of a model in which, as shown in the geometry diagram of Fig. 4B, the equivalence class i1 has three members and the equivalence class i2 includes only two members.
在这种情况下,该结构仍由对称平面P1来拆分,但是不像在第一示例中均匀地拆分,而是使得圆柱体c0、c1和c2是等同类i1的一部分,而圆柱体c3和c4是等同类i2的一部分。对称关系被示为Sym1:P1,表示关于对称平面P1的对称关系1。In this case, the structure is still split by the plane of symmetry P1, but not evenly as in the first example, but so that the cylinders c0, c1 and c2 are part of the same class i1, and the cylinder c3 and c4 are part of the equivalence class i2. The symmetry relation is shown as Sym1:P1, denoting symmetry relation 1 about the symmetry plane P1.
本文将对结构中的类进行拆分的这种处理称为“分割”。可以通过检查关系的所有成员以确定是否存在有任何两个成员对称,从而触发分割。如果存在有任何两个成员对称,则可以使用如下所述的处理来分割类。This article refers to this process of splitting classes in a structure as "splitting". Splitting can be triggered by examining all members of a relationship to determine if any two members are symmetric. If there is symmetry between any two members, the class can be split using the processing described below.
图5描绘了根据所公开的实施方式的处理的流程图,并且下面关于其他说明性图来描述该处理的流程图。FIG. 5 depicts a flowchart of a process in accordance with disclosed embodiments, and the flowchart of this process is described below with respect to other illustrative figures.
系统接收模型(步骤505)。“系统”可以是本文所描述的PDM数据处理系统,并且模型是包括多个组件的3D模型。本文所使用的“接收”可以包括从存储设备加载、从其他设备或处理接收、或者经由与用户的交互来接收。该模型包括每个组件的使得能够针对本文描述的几何关系来对组件的特征进行比较的几何形状和参数。The system receives the model (step 505). The "system" may be a PDM data processing system as described herein, and the model is a 3D model comprising a plurality of components. As used herein, "receiving" may include loading from a storage device, receiving from another device or process, or receiving via interaction with a user. The model includes the geometry and parameters of each component that enable the characteristics of the components to be compared against the geometric relationships described herein.
系统可以识别要针对对称被检查的多个目标组件(步骤510)。该步骤可以响应于用户输入如寻找对称组件的命令而进行,并且可以对如本文所述的关系类的所有成员进行该步骤。该步骤可以包括接收或创建包括目标组件的关系图。The system may identify a number of target components to be checked for symmetry (step 510). This step may be performed in response to user input such as a command to find symmetric components, and may be performed for all members of a relationship class as described herein. This step can include receiving or creating a relationship diagram that includes the target components.
图6示出了模型中的目标组件的示例。Figure 6 shows an example of target components in the model.
系统可以识别模型中的对称平面(步骤515)。该步骤可以由系统自动地进行,或者该步骤可以包括接收对称平面的用户选择。图6示出了对称平面S和几个圆柱面C1至C5。The system can identify planes of symmetry in the model (step 515). This step may be performed automatically by the system, or this step may include receiving a user selection of a plane of symmetry. Figure 6 shows the plane of symmetry S and several cylindrical surfaces C1 to C5.
系统可以针对每个目标组件确定目标位于对称平面的哪侧上(步骤520)。可以使用用于分配组件的侧的任何处理,例如但不限于使用边界框中心或质心、使用颜色或其他工程或设计属性、或使用其他方式。目标组件可以是例如当分割等同类时的单个模型面、或者当分割高层类如同轴或同向时的模型面的集合、或其他。The system may determine for each target component which side of the plane of symmetry the target is on (step 520). Any process for assigning sides of components may be used, such as, but not limited to, using bounding box centers or centroids, using color or other engineering or design attributes, or using other means. A target component may be, for example, a single model face when splitting a homogeneous class, or a collection of model faces when splitting a high-level class coaxial or unidirectional, or others.
通过关于对称平面的位置来识别每个目标组件,目标组件包括:被确定成位于对称平面前方的组件;被确定成位于对称平面后方的组件;以及被确定成位于对称平面上的组件。当然,“在前方”或“在后方”是相对性术语,并且意在包括关于“左”和“右”、“上”和“下”或其他的等价确定。例如,在图6中,具有圆柱面C1和C2的圆柱体在对称平面S的左边,而具有圆柱面C4和C5的圆柱体在对称平面S的右边。Each target component is identified by its position with respect to the plane of symmetry, including components determined to be located in front of the plane of symmetry; components determined to be located behind the plane of symmetry; and components determined to be located on the plane of symmetry. Of course, "in front" or "in rear" are relative terms and are intended to include equivalent determinations about "left" and "right", "upper" and "lower" or others. For example, in FIG. 6, the cylinder with cylindrical surfaces C1 and C2 is on the left of the plane of symmetry S, while the cylinder with cylindrical surfaces C4 and C5 is on the right of the plane of symmetry S.
系统根据所标识的位置将每个目标组件添加至组(步骤525)。如果有剩余的目标组件,则该处理可以循环至步骤520。例如,可以将具有圆柱面C1和C2的圆柱体置于第一组中,并且将具有圆柱面C4和C5的圆柱体置于第二组中。相应的组包括在对称平面的任一侧上的那些目标组件。The system adds each target component to the group according to the identified location (step 525). If there are remaining target components, the process may loop to step 520 . For example, a cylinder with cylindrical faces C1 and C2 may be placed in a first group, and a cylinder with cylindrical faces C4 and C5 may be placed in a second group. The respective groups include those target components on either side of the symmetry plane.
系统针对每一个非空组创建等价类(步骤530)。可以针对第一组以及针对第二组创建类。该步骤可以包括将新类置于关系图中。The system creates an equivalence class for each non-empty group (step 530). Classes can be created for the first group as well as for the second group. This step may include placing the new class in the diagram.
系统创建包括对称组件的两个组之间的对称关系(步骤530)。系统可以创建第一组与第二组之间的对称关系。The system creates a symmetric relationship between the two groups that includes symmetric components (step 530). The system can create a symmetrical relationship between the first group and the second group.
系统存储该对称关系(步骤535)。该步骤可以包括用关系图来存储对称关系并且可以包括存储修改了的关系图。The system stores the symmetric relationship (step 535). This step may include storing the symmetric relationship with the relationship graph and may include storing the modified relationship graph.
在一些实施方式中,发现并且处理等同类中的对称首先用作触发器,该触发器用于在高层类中重复该处理而不是必须重新发现对称。In some implementations, finding and processing the symmetry in the equivalent class first serves as a trigger for repeating the process in higher-level classes without having to rediscover the symmetry.
如在上面的处理中提到的,在一些模型中,分割可能得出以下结论:成员既不在对称平面的一侧上也不在其另一侧上,在本文中将此称为“自对称”。图6示出了会是等同类的一部分的五个圆柱面C1,…,C5;具有圆柱面C3的圆柱体为自对称并且可以被置于第三组中。As mentioned in the treatment above, in some models the segmentation may conclude that members are neither on one side nor on the other of the symmetry plane, which is referred to in this paper as "self-symmetry" . Fig. 6 shows five cylindrical faces C1, ..., C5 that would be part of an equivalence class; the cylinder with cylindrical face C3 is self-symmetrical and can be placed in a third group.
可以不同地处理该第三组面(在图6的示例中,第三组仅包括单个面C3)。替代被约束成在移动时保持对称,取决于所涉及的表面类型,可以施加不同的约束集合。在该示例中,施加以下约束,但是当然,其他实现方式可以使用其他约束:This third set of faces can be treated differently (in the example of FIG. 6 the third set only includes a single face C3). Instead of being constrained to maintain symmetry while moving, different sets of constraints can be imposed depending on the type of surface involved. In this example, the following constraints are imposed, but of course other implementations may use others:
●具有圆柱面C3的圆柱体被约束成与对称平面保持平行。• The cylinder with cylindrical face C3 is constrained to remain parallel to the plane of symmetry.
●具有圆柱面C3的圆柱体施加了两个可选约束,其中一个约束用于保持与包括具有圆柱面C1和C2的圆柱体的等同类一致,而另一个约束用于保持与包括具有圆柱面C4和C5的圆柱体的等同类一致。可选表示该约束不能与用户所请求的移动或与对模型的其他约束相冲突。● The cylinder with cylindrical face C3 imposes two optional constraints, one of which is used to maintain consistency with the equivalent class including cylinders with cylindrical faces C1 and C2, and the other constraint is used to maintain consistency with the same class including cylinders with cylindrical faces C1 and C2 The equivalence of the cylinders of C4 and C5 is the same. Optional indicates that the constraint cannot conflict with the movement requested by the user or with other constraints on the model.
在一些实现方式中,例如,系统可以施加约束以保持中心几何形状关于对称平面保持自对称。在圆柱体的情况下,例如,该约束可以是圆柱轴与对称平面法线平行。对于平面,该约束可以是平面法线与对称平面法线垂直。然后可选约束可以用于尝试保持中心几何形状在任一侧上与等同类等同。In some implementations, for example, the system can impose constraints to keep the central geometry self-symmetric about a plane of symmetry. In the case of a cylinder, for example, the constraint could be that the cylinder axis is parallel to the symmetry plane normal. For planes, the constraint can be that the plane normal is perpendicular to the symmetry plane normal. Optional constraints can then be used to try to keep the central geometry on either side equal to the equivalent class.
图7使用与图6中相同的元素示出了当向上移动具有圆柱面C4的圆柱体并维持可选约束时对可选约束的使用。当具有圆柱面C4的圆柱体被向上移动时,具有圆柱面C5的圆柱体作为第二等同类/组的一部分也被向上移动,具有圆柱面C1和C2的圆柱体作为与第二等同类/组对称的第一等同类/组的一部分也被向上移动,并且具有圆柱面C3的圆柱体根据以上可选约束被向上移动。Figure 7 illustrates the use of the optional constraint when moving up the cylinder with cylindrical face C4 and maintaining the optional constraint, using the same elements as in Figure 6 . When the cylinder with cylinder face C4 is moved up, the cylinder with cylinder face C5 as part of the second equivalent class/group is also moved up, and the cylinders with cylinder faces C1 and C2 as part of the second equivalent class/group A part of the first equivalent class/group of group symmetry is also moved up, and the cylinder with cylindrical face C3 is moved up according to the above optional constraints.
图8使用与图6中相同的元素示出了当具有圆柱面C4的圆柱体将其轴旋转时对可选约束的使用。当具有圆柱面C4的圆柱体被旋转时,具有圆柱面C5的圆柱体作为第二等同类/组的一部分也被旋转,具有圆柱面C1和C2的圆柱体作为与第二等同类/组对称的第一等同类/组的一部分沿相反方向被旋转,并且具有圆柱面C3的圆柱体根据以上可选约束保持静止。Figure 8 shows the use of optional constraints when the cylinder with cylindrical face C4 rotates its axis, using the same elements as in Figure 6 . When the cylinder with cylindrical face C4 is rotated, the cylinder with cylindrical face C5 as part of the second equivalent class/group is also rotated, and the cylinders with cylindrical faces C1 and C2 as symmetric with the second equivalent class/group A part of the first equivalent class/group of is rotated in the opposite direction, and the cylinder with cylindrical surface C3 remains stationary according to the optional constraints above.
上述分割处理还可以用于处理多个对称平面。The segmentation process described above can also be used to process multiple symmetry planes.
图9示出了由多个对称平面P1和P2进行分割的示例。在该示例中,具有对称面C1、C2、C3和C4的圆柱体全部平行并且不具有对称,并且其全部可以是单个同向类(经由两个同轴类和两个等同类)的成员。FIG. 9 shows an example of division by a plurality of symmetry planes P1 and P2. In this example, the cylinders with symmetry planes C1 , C2 , C3 and C4 are all parallel and have no symmetry, and they can all be members of a single coaxial class (via two coaxial classes and two equivalent classes).
然而,要允许C1的轴的旋转,需要将该同向类分割成四个组/类并且需要施加适当的对称关系。However, to allow rotation of the axis of C1, this isotropic class needs to be split into four groups/classes and a proper symmetric relationship needs to be imposed.
要实现以上内容,系统可以给类的每个组件分配关于每个对称平面的“指向(sense)”来形成“符号差(signature)”。然后具有相同符号差的所有成员形成单个分割。该指向根据分割方案确定部件在平面的哪侧上而被限定。将平面前方限定为正向,并且将平面后方限定为负向。在以上处理的情形中,根据由每个目标组件的指向所限定的相应的符号差来对目标组件进行分组。To achieve the above, the system can assign a "sense" about each symmetry plane to each component of the class to form a "signature". All members with the same sign difference then form a single split. The orientation is defined according to which side of the plane the partitioning scheme determines the component to be on. The front of the plane is defined as the positive direction, and the rear of the plane is defined as the negative direction. In the case of the above processing, the target components are grouped according to the respective sign differences defined by the pointing of each target component.
图10A示出了对于圆柱体c0至c4的单个对称平面P1的示例。图10B示出了针对这些圆柱体c0至c4及其面和平面的对应的指向,并且图10C示出了对应的关系图。FIG. 10A shows an example of a single plane of symmetry P1 for cylinders c0 to c4. FIG. 10B shows the corresponding orientations for these cylinders c0 to c4 and their faces and planes, and FIG. 10C shows the corresponding relationship diagram.
在该示例中,c1与c4对称,c2与c3对称,并且所有五个圆柱体等同。如图10B所示,面c0、c1和c2具有相同指向,并且面c3和c4具有相同指向。因而,如图10C所示,将等同几何形状的组分割成两组,并且创建两个等同类i1和i2,并且在等同类之间创建对称关系Sym1。In this example, c1 is symmetrical to c4, c2 is symmetrical to c3, and all five cylinders are equal. As shown in FIG. 10B, faces c0, c1, and c2 have the same orientation, and faces c3 and c4 have the same orientation. Thus, as shown in FIG. 10C , the group of equivalent geometric shapes is split into two groups, and two equivalence classes i1 and i2 are created, and a symmetry relation Sym1 is created between the equivalence classes.
图11A示出了与图9对应的以上圆柱面c1至c4的两个对称平面P1和P2的示例。图11B示出了对于这些圆柱体及其面和平面的对应指向,图11C示出了对应的关系图。FIG. 11A shows an example of two symmetry planes P1 and P2 of the above cylindrical surfaces c1 to c4 corresponding to FIG. 9 . Figure 11B shows the corresponding orientations for these cylinders and their faces and planes, and Figure 11C shows the corresponding relationship diagram.
在该示例中,圆柱体关于两个不同的对称平面P1和P2对称。当考虑关于两个平面的指向时,如图11B所示,所有四个圆柱体具有不同符号差(由指向的组合来限定)。因而,如图11C的关系图中所示,创建四个单独的等同类、同轴类以及同向类。In this example, the cylinder is symmetrical about two different planes of symmetry P1 and P2. When considering orientations with respect to two planes, as shown in Figure 1 IB, all four cylinders have different sign differences (defined by the combination of orientations). Thus, as shown in the relationship diagram of Figure 11C, four separate classes of equivalence, coaxial, and isotropic are created.
当然,本领域技术人员会意识到,除非由操作顺序特别地指示或要求,否则上述处理中的某些步骤可以被省略、同时或顺序地进行或者以不同的次序进行。各种处理的步骤和操作可以在各种实施方式中被组合。Of course, those skilled in the art will appreciate that certain steps in the above-described processes may be omitted, performed simultaneously or sequentially, or performed in a different order unless specifically indicated or required by the order of operations. The steps and operations of various processes may be combined in various implementations.
本领域技术人员应当意识到,为简单和清楚起见,未在本文中描绘或描述适于与本公开内容一起使用的所有数据处理系统的完全结构和操作。替代地,仅仅描绘和描述了数据处理系统中作为本公开内容所特有的部分或者理解本公开内容所必需的部分。数据处理系统100的构建和操作的其余部分可以遵循本领域中已知的任意的各种目前实现和实践。Those skilled in the art will appreciate that for simplicity and clarity, the full structure and operation of all data processing systems suitable for use with the present disclosure have not been depicted or described herein. Instead, only those portions of a data processing system that are characteristic of the present disclosure or necessary for an understanding of the present disclosure are depicted and described. The remainder of the construction and operation of data processing system 100 may follow any of various current implementations and practices known in the art.
重要的是应当注意,尽管本公开内容包括在完全功能性系统的情形下的描述,但是本领域技术人员应当理解,本公开内容的至少部分机制能够以包含在各种形式的机器可用、计算机可用或计算机可读介质内的指令的形式而被分发,并且不管实际执行分发所采用的指令或信号承载介质或者存储介质的具体类型如何,本公开内容均同样适用。机器可用/可读或计算机可用/可读介质的示例包括:非易失性、硬编码型介质如只读存储器(ROM)或可擦除、电可编程只读存储器(EEPROM)、以及用户可记录型介质如软盘、硬盘驱动器及致密盘只读存储器(CD-ROM)或者数字多功能盘(DVD)。It is important to note that although the present disclosure includes descriptions in the context of fully functional systems, those skilled in the art will appreciate that at least some of the mechanisms of the present disclosure can be embodied in various forms of machine-usable, computer-usable or computer-readable media, and this disclosure applies equally regardless of the specific type of instruction or signal bearing media or storage media by which the distribution is actually performed. Examples of machine-usable/readable or computer-usable/readable media include: non-volatile, hard-coded type media such as read-only memory (ROM) or erasable, electrically programmable read-only memory (EEPROM), and user-programmable Recording type media such as floppy disks, hard disk drives, and compact disk read-only memories (CD-ROMs) or digital versatile disks (DVDs).
尽管详细描述了本公开内容的示例性实施方式,但是本领域技术人员应当理解,可以在不偏离本公开内容的最广泛形式的精神和范围的情况下,对本文中所公开的内容进行各种变化、替代、变型和改进。Although the exemplary embodiments of the present disclosure have been described in detail, those skilled in the art will appreciate that various modifications can be made to the present disclosure without departing from the spirit and scope of the disclosure in its broadest form. Changes, Substitutions, Modifications and Improvements.
本申请中的描述都不应该被解读为暗示任何特定的元件、步骤或功能是必须被包括在权利要求范围中的必要要素,专利保护的主题的范围仅由授权的权利要求来限定。Nothing in the description in the present application should be read as implying that any particular element, step, or function is an essential element that must be included in the scope of the claims, and the scope of patented subject matter is defined only by the issued claims.
所使用的附图标记列表、词汇表List of reference symbols used, glossary
100 数据处理系统100 data processing system
102 处理器102 processors
104 高速缓存/桥接器104 Cache/Bridge
106 本地系统总线106 local system bus
108 主存储器108 main memory
110 图形适配器110 graphics adapter
111 显示器111 display
112 局域网/广域网/无线适配器112 LAN/WAN/Wireless Adapter
114 扩展总线接口114 Expansion bus interface
116 输入/输出总线,I/O总线116 input/output bus, I/O bus
118 键盘/鼠标适配器118 keyboard/mouse adapter
120 盘控制器120 disk controller
122 I/O 适配器122 I/O Adapter
124 音频适配器124 audio adapter
126 存储设备126 storage devices
130 网络130 network
140 服务器系统140 server system
200 工作零件200 working parts
202 模型圆柱面202 model cylindrical surface
204 模型圆柱面204 model cylindrical surface
206 平面P1206 Plane P1
505 接收模型505 Receive Model
510 识别目标组件510 Identify target components
515 识别对称平面515 Identify Symmetry Plane
520 确定目标相对于平面的位置520 Determine the position of the target relative to the plane
525 根据位置将目标添加至组525 Add target to group based on location
530 针对每个非空组创建等价类530 Create an equivalence class for each non-empty group
535 存储对称关系535 Store symmetric relations
C1 圆柱面C1 cylindrical surface
C2 圆柱面C2 cylindrical surface
C3 圆柱面C3 cylindrical surface
C4 圆柱面C4 cylindrical surface
C5 圆柱面C5 cylindrical surface
c0 圆柱体c0 cylinder
c1 圆柱体c1 cylinder
c2 圆柱体c2 cylinder
c3 圆柱体c3 cylinder
c4 圆柱体c4 cylinder
c5 圆柱体c5 cylinder
I 等同I equivalent
i1 类,等同类i1 class, equal class
i2 类,等同类i2 class, equivalent class
P1 平面、对称平面P1 plane, symmetry plane
P2 平面、对称平面P2 plane, symmetry plane
S 对称平面S Symmetry plane
SA 同轴SA coaxial
SC 同心SC Concentric
SD 同向SD same direction
SP 同平面SP same plane
SS 同形SS isomorphic
sa1 同轴类sa1 coaxial
sd1 同向类sd1sd1 same direction class sd1
Sym1 对称Sym1 Symmetry
Sym1:P1 对称关系Sym1:P1 symmetric relationship
ASIC 专用集成电路ASIC application specific integrated circuit
CAD 计算机辅助设计CAD computer aided design
I/O 输入/输出I/O input/output
LAN 局域网LAN local area network
PCI 外围部件互连PCI Peripheral Component Interconnect
PDM 产品数据管理PDM Product Data Management
PLM 产品生命周期管理PLM Product Lifecycle Management
WAN 广域网WAN wide area network
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US13/529,066 | 2012-06-21 | ||
US13/529,066 US9141731B2 (en) | 2012-06-21 | 2012-06-21 | Symmetry of discovered geometric relationships in a three dimensional model |
PCT/US2013/046701 WO2013192372A1 (en) | 2012-06-21 | 2013-06-20 | Symmetry of discovered geometric relationships in a three dimensional model |
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US20140172144A1 (en) * | 2012-12-17 | 2014-06-19 | Mitsubishi Electric Research Laboratories, Inc. | System and Method for Determining Surface Defects |
US20140355888A1 (en) * | 2013-05-31 | 2014-12-04 | Siemens Product Lifecycle Management Software Inc. | Automatic detection of regular patterns of features |
IN2013MU04141A (en) * | 2013-12-31 | 2015-08-07 | Dassault Systemes | |
US20150302114A1 (en) * | 2014-04-22 | 2015-10-22 | Siemens Product Lifecycle Management Software Inc. | Duplicate pattern of assembly components in cad models |
US20150339410A1 (en) * | 2014-05-22 | 2015-11-26 | Siemens Product Lifecycle Management Software Inc. | Cad components with overlay data |
US10286604B2 (en) * | 2015-03-31 | 2019-05-14 | Benjamin M. Cromeens | Method, system, and apparatus for biological model symmetry |
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US9141731B2 (en) | 2015-09-22 |
US20130346029A1 (en) | 2013-12-26 |
WO2013192372A1 (en) | 2013-12-27 |
JP2015525422A (en) | 2015-09-03 |
CN104395906B (en) | 2017-12-19 |
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